• Best of luck to the class of 2024 for their HSC exams. You got this!
    Let us know your thoughts on the HSC exams here
  • YOU can help the next generation of students in the community!
    Share your trial papers and notes on our Notes & Resources page
MedVision ad

Why SDEHS papers so hard MX2 (1 Viewer)

carrotsss

New Member
Joined
May 7, 2022
Messages
4,453
Gender
Male
HSC
2023
heugh. his "as required" assumes that the conjugate of the numerator / denominator = conjugate of the numerator / conjugate of the denominator.
simple enough right?
that was due to an error in the second last line as I explained earlier
 

liamkk112

Well-Known Member
Joined
Mar 26, 2022
Messages
1,043
Gender
Female
HSC
2023
this:
(but replace with a+ib) does not have to be the conjugate of
, does it..
ur right. using the rule that conj(z1z2) = conj(z1)conj(z2), then in this case u would end up with something of the form conj(1/a+bi)=(a-ib)/(a^2+b^2) which would have to then be multiplied by conj(x+iy) = x-iy, so overall conj(x+iy/a+bi) = (x-iy)(a-bi)/(a^2+b^2), i believe but im rusty
 

liamkk112

Well-Known Member
Joined
Mar 26, 2022
Messages
1,043
Gender
Female
HSC
2023
ur right. using the rule that conj(z1z2) = conj(z1)conj(z2), then in this case u would end up with something of the form conj(1/a+bi)=(a-ib)/(a^2+b^2) which would have to then be multiplied by conj(x+iy) = x-iy, so overall conj(x+iy/a+bi) = (x+iy)(a+bi)/(a^2+b^2), i believe but im rusty
that being said im pretty sure the equation u sent has solutions, if its still under discussion. as someone else already said u can just use the quadratic formula
 
Joined
Oct 22, 2023
Messages
79
Gender
Male
HSC
2024
ur right. using the rule that conj(z1z2) = conj(z1)conj(z2), then in this case u would end up with something of the form conj(1/a+bi)=(a-ib)/(a^2+b^2) which would have to then be multiplied by conj(x+iy) = x-iy, so overall conj(x+iy/a+bi) = (x-iy)(a-bi)/(a^2+b^2), i believe but im rusty
the conjugate of is not

so the conjugate is
so using this method u still get the same answer as i did as u get


 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top